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Difference between revisions of "Carsten Milkau/NOT Gate"

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< User:Carsten Milkau
(Created page with "= NOT Gate = A NOT gate, sometimes also called ''inverter'', is a circuit that outputs the value that was not input. It has a single input and output, and each can only take...")
 
(→‎Implementation)
 
(8 intermediate revisions by one other user not shown)
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|+ value table
 
|+ value table
 
|-
 
|-
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!input || output
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!'''inputs''' || '''outputs'''
 +
|-
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!x || y
 
|-
 
|-
 
|0||1
 
|0||1
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=== Connectors ===
 
=== Connectors ===
  
−
* Input: one of two values (0 or 1)
+
* Input x: one of two values (0 or 1)
−
* Output: the other of the two values
+
* Output y: the other of the two values
  
 
== Implementation ==
 
== Implementation ==
  
−
NOT gates can often be avoided by modifying the circuit. For instance, if you use the output of a NOT gate to control the selector input of a [[Kit (Logic Processor)#Logic Select Unit|Logic Select Unit]], you can just switch the two inputs with each other instead and eleminate the NOT gate.
+
NOT gates can often be avoided by modifying the circuit. For instance, an [[User:Carsten Milkau/OR Gate|OR Gate]] with two NOT gates connected to its inputs and outputs can always be replaced by an AND gate with just one NOT gate connected.
  
−
Unfortunately, there is no single-component implementation of a NOT gate. However, if you happen to have a data signal with a known value (like a memory containing a constant), often you can feed this signal into a single component in order to turn it into a NOT gate.
+
=== Single Block ===
 +
 
 +
[[File:CompareUnit.png|thumb]]
 +
 
 +
Use the Gate Unit, set it to Nor and both inputs to the same Logic Reader.
  
 
=== Using A Less-Than Comparator ===
 
=== Using A Less-Than Comparator ===
 +
 +
[[File:CompareUnit.png|thumb]]
 +
 +
If you have a circuit available (e.g. a constant memory) that has a value ''b'' known to stay between 0 and 1 (but not 0), you can turn a [[Kit (Logic Processor)#Compare Unit|Compare Unit]] into a logic NOT gate by comparing the input ''x'' to ''b'', i.e.
 +
 +
<pre>y = (x < b)</pre>
 +
 +
{| class="wikitable"
 +
|+ circuit setup
 +
|-
 +
! unit || unit type || connector/setting || source / value
 +
|-
 +
|compare 1 || Compare Unit || Input 1 || x '''(input)'''
 +
|-
 +
| || || Input 2 || ''b'' (constant or bounded value)
 +
|-
 +
| || || Operation Selector || Lesser
 +
|-
 +
| || || Output || y '''(output)'''
 +
|}
 +
 
=== Using An Equality Comparator ===
 
=== Using An Equality Comparator ===
 +
 +
[[File:CompareUnit.png|thumb]]
 +
 +
If you have a circuit output available that is known to be zero when the NOT gate is used (e.g. a constant memory), you can turn a [[Kit (Logic Processor)#Compare Unit|Compare Unit]] into a logic NOT gate by comparing the input ''x'' to ''0'', i.e.
 +
 +
<pre>y = (x = 0)</pre>
 +
 +
{| class="wikitable"
 +
|+ circuit setup
 +
|-
 +
! unit || unit type || connector/setting || source / value
 +
|-
 +
|compare 1 || Compare Unit || Input 1 || x '''(input)'''
 +
|-
 +
| || || Input 2 || 0 (constant)
 +
|-
 +
| || || Operation Selector || Equals
 +
|-
 +
| || || Output || y '''(output)'''
 +
|}
 +
 
=== Using Subtraction ===
 
=== Using Subtraction ===
 +
 +
[[File:MathUnit.png|thumb]]
 +
 +
If you do not use 0 and 1 as the two possible input values of the inverter, you can use subtraction for implementation. In this case, you need a constant that is exactly the mean of the two input values, i.e.
 +
 +
<pre>y = (m - x)</pre>
 +
 +
where m = (a + b)/2 is the mean of the two allowed input values, (called ''a'' and ''b'' here).
 +
 +
{| class="wikitable"
 +
|+ Circuit setup
 +
|-
 +
! unit || unit type  || connector/setting || source/value
 +
|-
 +
| math 1 || [[Kit (Logic Processor)#Math Unit|Math Unit]] || Input 1 || x '''(input)'''
 +
|-
 +
| || || Input 2 || m (constant, see above)
 +
|-
 +
| || || Operation || Subtract
 +
|-
 +
| || || Output || y '''(output)'''
 +
|}

Latest revision as of 23:00, 14 July 2023

NOT Gate[edit]

A NOT gate, sometimes also called inverter, is a circuit that outputs the value that was not input. It has a single input and output, and each can only take one of two pre-defined values (typically 0 and 1). Whatever the input value is selected, the output value will be the other of the two.

Definition[edit]

value table
inputs outputs
x y
0 1
1 0

Connectors[edit]

  • Input x: one of two values (0 or 1)
  • Output y: the other of the two values

Implementation[edit]

NOT gates can often be avoided by modifying the circuit. For instance, an OR Gate with two NOT gates connected to its inputs and outputs can always be replaced by an AND gate with just one NOT gate connected.

Single Block[edit]

CompareUnit.png

Use the Gate Unit, set it to Nor and both inputs to the same Logic Reader.

Using A Less-Than Comparator[edit]

CompareUnit.png

If you have a circuit available (e.g. a constant memory) that has a value b known to stay between 0 and 1 (but not 0), you can turn a Compare Unit into a logic NOT gate by comparing the input x to b, i.e. 

y = (x < b)
circuit setup
unit unit type connector/setting source / value
compare 1 Compare Unit Input 1 x (input)
Input 2 b (constant or bounded value)
Operation Selector Lesser
Output y (output)

Using An Equality Comparator[edit]

CompareUnit.png

If you have a circuit output available that is known to be zero when the NOT gate is used (e.g. a constant memory), you can turn a Compare Unit into a logic NOT gate by comparing the input x to 0, i.e. 

y = (x = 0)
circuit setup
unit unit type connector/setting source / value
compare 1 Compare Unit Input 1 x (input)
Input 2 0 (constant)
Operation Selector Equals
Output y (output)

Using Subtraction[edit]

MathUnit.png

If you do not use 0 and 1 as the two possible input values of the inverter, you can use subtraction for implementation. In this case, you need a constant that is exactly the mean of the two input values, i.e. 

y = (m - x)

where m = (a + b)/2 is the mean of the two allowed input values, (called a and b here).

Circuit setup
unit unit type connector/setting source/value
math 1 Math Unit Input 1 x (input)
Input 2 m (constant, see above)
Operation Subtract
Output y (output)
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